Devon bought running shocs at a price that was 1/4 off the original price of $88. He paid a sales tax of 7% on the discounted price and gave the clerk four $20 bills.
How much change should he receive?

A. $ 4.62
B. $ 7.84
C. $ 9.38
D. $12.46
E. $18.62

The correct answer is C. $ 9.38

Explanation:

The first step to solve this mathematical problem is to know the price of the shoes. About this, we know the price is 1/4 of $88 plus taxes. You can find how much is 1/4 of $88 by following this process:

1. Write the amounts given

 of

2. Divide the number by the denominator (bottom number) and then multiply by the numerator

÷

This means the discount was  $22 and $88- $22 = $66, which is the price with the discount. Now, it is necessary to add the sales tax, which can be done by finding the 7% of $66 and adding this number to $66 (the price of the shoes including the 1/4 discount)

1.  Write the values

66 = 100 (66 represents the total or 100%)

x   =  7 (7% is the value you want to know and the x represents the value is not known)

2. Cross multiply

x 100 = 462

3. Find x

x = 462 ÷ 100

x = 4. 62 ( value of taxes)

Now, add the taxes to the price $66 + $ 4.62 = $70.62 (price with taxes). Finally, we know Devon paid using four $20 bills. This means he gave the clerk $80 ($20 x 4 = $80). Finally, to know how much is the change subtract the price of the shoes from the money Devon gave the clerk $80 - $70.62 = $9.38

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

s

step-by-step explanation: